BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

$G_2$ Laplacian flow and higher codimensional spacelike mean curvature flow Lambert, Ben


It is known that higher codimensional mean curvature flow appears naturally in the $G_2$-Laplacian flow of coassociative fibrations. With this motivation, we consider entire higher codimensional mean curvature flow in $\mathbb R^{n,m}$ of $n$-dimensional spacelike manifolds and prove a long time existence theorem starting from arbitrary spacelike initial data. We will see that the key to the proof is to demonstrate local spacelike gradient estimates, and to get around difficulties with cutoff functions in $\mathbb R^{n,m}$. This yields new long time existence results for the $G_2$-Laplacian flow.

Item Media

Item Citations and Data


Attribution-NonCommercial-NoDerivatives 4.0 International